30441709520 has 80 divisors (see below), whose sum is σ = 73318588560. Its totient is φ = 11746099200.

The previous prime is 30441709513. The next prime is 30441709553. The reversal of 30441709520 is 2590714403.

It can be written as a sum of positive squares in 8 ways, for example, as 8992349584 + 21449359936 = 94828^2 + 146456^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239780 + ... + 344060.

It is an arithmetic number, because the mean of its divisors is an integer number (916482357).

Almost surely, 2^30441709520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30441709520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36659294280).

30441709520 is an abundant number, since it is smaller than the sum of its proper divisors (42876879040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30441709520 is a wasteful number, since it uses less digits than its factorization.

30441709520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104424 (or 104418 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 30441709520 in words is "thirty billion, four hundred forty-one million, seven hundred nine thousand, five hundred twenty".